TY - JOUR T1 - Converse Theorems for the Cesàro Summability of Improper Integrals AU - Sezer, Sefa Anıl AU - Savaş, Rahmet PY - 2020 DA - February Y2 - 2019 DO - 10.16984/saufenbilder.598645 JF - Sakarya University Journal of Science JO - SAUJS PB - Sakarya University WT - DergiPark SN - 2147-835X SP - 45 EP - 48 VL - 24 IS - 1 LA - en AB - In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability. KW - Converse theorem KW - Tauberian condition CR - İ. Çanak, Ü. Totur, “A Tauberian theorem for Cesàro summability of integrals,” Appl. Math. Lett., vol. 24 no. 3, pp. 391–395, 2011. CR - İ. Çanak, Ü. Totur, “Tauberian conditions for Cesàro summability of integrals,” Appl. Math. Lett., vol. 24 no. 6, pp. 891–896, 2011. CR - İ. Çanak, Ü. Totur, “Tauberian conditions for the integrability of functions,” Positivity, vol. 21 no. 1, pp. 73–83, 2017. CR - G. H. Hardy, “Divergent Series,” Clarendon Press, Oxford, 1949. CR - A. Laforgia, “A theory of divergent integrals,” Appl. Math. Lett., vol. 22 no. 6, pp. 834–840, 2009. CR - F. Móricz, Z. Németh, “Tauberian conditions under which convergence of integrals follows from summability over ,” Anal. Math., vol. 26, no. 1, pp. 53–61, 2000. CR - F. Móricz, “Necessary and sufficient Tauberian conditions in the case of weighted mean summable integrals over ,” Math. Inequal. Appl., vol. 7, no. 1, pp. 87–93, 2004. UR - https://doi.org/10.16984/saufenbilder.598645 L1 - https://dergipark.org.tr/en/download/article-file/833145 ER -